Circulatory or respiratory diseases were identified as the primary diagnoses for an extra 109,000 A&E admissions in England in 2012-13, Andy Burham will say. Photograph: Robert Stainforth/Alamy

An extra 109,000 patients were diagnosed with cold-related illnesses at A&E departments last year, Labour's shadow health secretary will say on Monday as he blames the government for failing to rein in rising energy bills.

Andy Burnham will reveal circulatory or respiratory diseases were identified as the primary diagnoses of these addition admissions across English hospitals in 2012-13. The figure represents a 10% rise on 2009-10, the year before the coalition came to power and the introduction of a series of wide-sweeping changes to NHS.

The former health secretary will say the figures provide tangible proof of "the effect on A&E of the cost-of-living crisis and rising energy bills".

In a state of the NHS address in Birmingham, he will say: "The government has allowed A&E to come under siege from all sides to the point where it is now in danger of being overwhelmed.

"A&E today is becoming the last resort for millions of people who are struggling to cope with the cost-of-living crisis and cuts to community services. This explains why the current financial year is set to be the worst in A&E for at least a decade."

Burnham's speech will reiterate Labour's claim that the coalition is overseeing a cost-of-living crisis, compounded by its failure to stand up to the energy companies. He will argue that the government's top-down reorganisation of the NHS has left hospitals weakened, and that together with soaring heating costs have contributed to the rise in respiratory and circulatory A&E admissions since 2010.

According to Labour's analysis, 1,176,353 people went to A&E with circulatory and respiratory problems in 2012-13, up from 1,067,134 in 2009/10. It blames this partly on rising household bills, which have gone up by an average of £300 since the election.

Figures from the Office for National Statistics showed that an estimated 31,100 excess winter deaths occurred in England and Wales in 2012–13 – a 29% increase compared with the previous winter.

The health minister Dr Dan Poulter rejected Burham's analysis: "Labour's desperate campaign to run down A&Es is wearing thin. More elderly people need healthcare as the population ages, yet even with this big increase in demand, hospitals are seeing more patients within 4 hours than ever before, and have already hit their target more weeks than they did the winter when Andy Burnham was health secretary."